455409420480 has 672 divisors, whose sum is σ = 1960903002240. Its totient is φ = 94590074880.

The previous prime is 455409420469. The next prime is 455409420493. The reversal of 455409420480 is 84024904554.

It is a happy number.

455409420480 is a `hidden beast` number, since 4 + 5 + 540 + 9 + 4 + 20 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9915970 + ... + 9961790.

It is an arithmetic number, because the mean of its divisors is an integer number (2918010420).

Almost surely, 2^455409420480 is an apocalyptic number.

455409420480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455409420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980451501120).

455409420480 is an abundant number, since it is smaller than the sum of its proper divisors (1505493581760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455409420480 is a wasteful number, since it uses less digits than its factorization.

455409420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45897 (or 45884 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 455409420480 in words is "four hundred fifty-five billion, four hundred nine million, four hundred twenty thousand, four hundred eighty".